WeightedMovingAverage

Incremental, causal technical analysis documentation

Summary

WeightedMovingAverage is RTTA's streaming implementation of: Weighted moving average with larger recent weights.

Update API

result = rtta.WeightedMovingAverage().update(value)

The update(...) call consumes one observation using value. advance(...) uses the same inputs when the caller wants to update state without materializing a Python return value.

Theory Of Operation

WeightedMovingAverage is a causal smoother or average. It updates compact rolling or exponential state with the newest observation and returns the current smoothed estimate.

Recurrence

Let \(z_t = value_t\) denote the observation consumed by one update(...) call and let \(\theta\) denote constructor parameters such as window lengths, thresholds, and smoothing constants.

\[E_t=\alpha z_t+(1-\alpha)E_{t-1}\]
\[y_t = G(E_t,E^{(2)}_t,\ldots,z_t)\]

The return value is the current scalar indicator value.

Implementation Notes

The recurrence is implemented in src/rtta/indicator.cpp in class WeightedMovingAverage.

Reference